Calculating the slope of parallel lines

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GMAT Quantitative › Calculating the slope of parallel lines

Questions 1 - 5

What is the slope of the line parallel to ?

Explanation

Parallel lines have the same slope. Therefore, rewrite the equation in slope intercept form :

A given line is defined by the equation $y=\frac{1}{3}x+9$ . What is the slope of any line parallel to this line?

$\frac{1}{3}$

$-\frac{1}{3}$

$-\frac{2}{3}$

Explanation

Any line that is parallel to a line has a slope that is equal to the slope . Given $y=\frac{1}{3}x+9$ , $m=\frac{1}{3}$ and therefore any line parallel to the given line must have a slope of $\frac{1}{3}$ .

A given line is defined by the equation . What is the slope of any line parallel to this line?

$\frac{1}{5}$

$-\frac{1}{5}$

Explanation

Any line that is parallel to a line has a slope that is equal to the slope . Given , and therefore any line parallel to the given line must have a slope of .

A given line is defined by the equation $y=\frac{4}{3}x+12$ . What is the slope of any line parallel to this line?

$\frac{4}{3}$

$-\frac{4}{3}$

$\frac{3}{4}$

$-\frac{3}{4}$

Explanation

Any line that is parallel to a line has a slope that is equal to the slope . Given $y=\frac{4}{3}x+12$ , $m=\frac{4}{3}$ and therefore any line parallel to the given line must have a slope of $\frac{4}{3}$ .